x^2+3ax-4x+2=0

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Solution for x^2+3ax-4x+2=0 equation:


Simplifying
x2 + 3ax + -4x + 2 = 0

Reorder the terms:
2 + 3ax + -4x + x2 = 0

Solving
2 + 3ax + -4x + x2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + 3ax + -4x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 3ax + -4x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3ax + -4x + x2 = 0 + -2
3ax + -4x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
3ax + -4x + x2 = -2

Add '4x' to each side of the equation.
3ax + -4x + 4x + x2 = -2 + 4x

Combine like terms: -4x + 4x = 0
3ax + 0 + x2 = -2 + 4x
3ax + x2 = -2 + 4x

Add '-1x2' to each side of the equation.
3ax + x2 + -1x2 = -2 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
3ax + 0 = -2 + 4x + -1x2
3ax = -2 + 4x + -1x2

Divide each side by '3x'.
a = -0.6666666667x-1 + 1.333333333 + -0.3333333333x

Simplifying
a = -0.6666666667x-1 + 1.333333333 + -0.3333333333x

Reorder the terms:
a = 1.333333333 + -0.6666666667x-1 + -0.3333333333x

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